Ultimately uniform boundedness of solutions and gradients for degenerate parabolic systems

被引：7

作者：

Dung, L ^{[1
]}

机构：

[1] Georgia Inst Technol, Ctr Dynam Syst & Nonlinear Studies, Atlanta, GA 30332 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 39卷 / 02期

关键词：

p-Laplacian; parabolic systems; dissipativity; uniform estimates;

D O I：

10.1016/S0362-546X(98)00172-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Solutions for degenerate parabolic systems are derived. To get rid of the dependence on initial conditions in the estimates, a location analysis in time is used to obtain a better recursive relation and therefore prove the derived equations. Furthermore, the results are extended for scalar equations to systems of parabolic equations.

引用

页码：157 / 171

页数：15

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